Common Aleve side effects may include:indigestion, heartburn, stomach pain, nausea;headache, dizziness, drowsiness;bruising, itching, rash;
swelling; or.ringing in your ears. And there maybe more. If you can with harming yourself, stop taking it for a few nights and see if your BP settles down. Also do you sit for 5 mins or more relaxing, before you take your BP? And worrying about your BP also cause it to go up.